Preservation for generation along the structure morphism of coherent algebras over a scheme

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509689" target="_blank" >RIV/00216208:11320/25:10509689 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tz0b_pv4Ci" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tz0b_pv4Ci</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.70066" target="_blank" >10.1112/blms.70066</a>

Result language
angličtina
Original language name
Preservation for generation along the structure morphism of coherent algebras over a scheme
Original language description
This work demonstrates classical generation is preserved by the derived pushforward along the structuremorphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that theKrull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derivedcategory associated with a noncommutative coherent algebra on it. This is an extension of a classical result ofRouquier to the noncommutative context
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA23-05148S" target="_blank" >GA23-05148S: Homological and structural theory in geometric contexts</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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